Question

3) Area of the given quadrilateral ABCD is 21 m2IF DE = 3 m and BF = 4 m then AC is
a) 8 m
b) 5 m
c) 6 m
d) 7 m​

Answer 1

Answer:

In ΔADE,

∠EAD+∠BAF=90o and

∠EAD+∠BAF=90o⇒∠EDA=∠BAF

⇒AFDE=BFAE

⇒BFAF=AEDE=35....(1)

similarly ΔCFB:ΔDEC

⇒BFCE=CFDE

⇒BFCF=CEDE=75...(2)

adding (1) and (2)

BFAF+CF=2150

⇒BFAC=2150

⇒BF10=21